122816736 has 180 divisors, whose sum is σ = 420606648. Its totient is φ = 35054208.

The previous prime is 122816719. The next prime is 122816737. The reversal of 122816736 is 637618221.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 122816736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122816737) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126525 + ... + 127491.

Almost surely, 2^122816736 is an apocalyptic number.

122816736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122816736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210303324).

122816736 is an abundant number, since it is smaller than the sum of its proper divisors (297789912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122816736 is an equidigital number, since it uses as much as digits as its factorization.

122816736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 979 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 122816736 is about 11082.2712473572. The cubic root of 122816736 is about 497.0718668805.

The spelling of 122816736 in words is "one hundred twenty-two million, eight hundred sixteen thousand, seven hundred thirty-six".